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Working with Per Cents - Innvista

Home › Science › Mathematics › Basic Skills › Working with Per Cents

Working with Per Cents

Finding the per cent of a number:

40% of 50 = .4 x 50 = 20
40% of 50 = 40/100 x 50 = 2/5 x 50 = 20
25% of 42 = .25 x 42 = 10.5
25% of 42 = 25/100 x 42 = 1/4 x 42 = 10 1/2
5% of 160 = .05 x 160 = 8
5% of 160 = 5/100 x 160 = 1/20 x 160 = 8
12 1/2 % of 96 = 12.5% of 96 = .125 x 96 = 12
12 1/2 % of 96 = 25/2 % of 96 = 25/200 x 96 = 12
16 2/3 % of 36 = 50/3 % of 36 = 50/300 x 36 = 6 (With repeating decimal, use the fraction approach.)
1/2 % of 600 = .5% of 600 = 5/1000 x 600 = 3
1/2 % of 600 = 1/200 x 600 = 3
50% of 75 = .5 x 75 = 37.5
50% of 75 = 1/2 x 75 = 37 1/2
37 1/2 % of $10.50 = .375 x $10.50 = $3.9375 or $3.94
37 1/2 % of $10.50 = 3/8 x $10.50 = $ 31.50/8 = $3.9375 or $3.94
150% of 40 = 1.5 x 40 = 60
150% of 40 = 150/100 x 40 = 3/2 x 40 = 60

Finding the per cent that one number is of another number:

20 = what per cent of 50?
20 ÷ 50 x 100% = 2/5 x 100% = 40
8 = what per cent of 1000?
8 ÷ 1000 x 100% = 1/125 x 100% = 100/125 % = .8%
30 = what per cent of 80?
30 ÷ 80 x 100% = 3 ÷ 8 x 100% = 300/8 % = 37.5%
50 = what per cent of 75?
50 ÷ 75 x 100% = 2/3 x 100% = 100/3 % = 66 2/3%
400 = what per cent of 320?
400 ÷ 320 x 100% = 5/4 x 100% = 500/4 % = 125%
3/8 = what per cent of 1/2?
3/8 ÷ 1/2 x 100% = 3/8 x 2/1 x 100% = 75%